Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Solution to the problem
For this case we select a sample of n =100
From the central limit theorem we know that the distribution for the sample mean is given by:
So then the sample mean would be:
And the standard deviation would be:
There will be 40 contest winners
Answer:
x=1
Step-by-step explanation:
in the right side 8/64 = 1/8
as the numerator is 1
so x = 1
Answer:14
Step-by-step explanation: it's says x= the sign at the end meaning whatever x is it's greater than 2 and 14 is the only one greater than 2
V≈254.47
Which rounded to the nearest tenths place, is 254.5
The equation to find the volume of a cylinder is V=πr^2h, so if we input 3 into where r is, and if we input 9 in the place of h, we get V=π(3^2)9
If we solve the exponent, now it’s V=(π9)9. So now we multiply pi by 9, then that by 9, and you get 254.47